密码系统工作模式判别的动力系统方法
A dynamical systems approach to the discrimination of the modes of operation of cryptographic systems
摘要：
建立与密码操作模式相关联的签名的证据。受密码学和动力学系统之间的一些类比，特别是混沌理论的启发，我们提出了一种基于离散动力学系统的李雅普诺夫指数的算法来估计加密算法迭代应用时密文之间的发散。结果允许区分六种操作模式，即ECB，CBC，OFB，CFB，CTR和PCBC使用DES，IDEA，TEA和XTEA的64位分组密码，以及AES，RC6，Twofish，Seed，Serpent和Camellia的128位分组密码。此外，所提出的方法能够根据其强度对密码系统的操作模式进行分类。
英文摘要：
Evidence of signatures associated with cryptographic modes of operation is established. Motivated by some analogies between cryptographic and dynamical systems, in particular with chaos theory, we propose an algorithm based on Lyapunov exponents of discrete dynamical systems to estimate the divergence among ciphertexts as the encryption algorithm is applied iteratively. The results allow to distinguish among six modes of operation, namely ECB, CBC, OFB, CFB, CTR and PCBC using DES, IDEA, TEA and XTEA block ciphers of 64 bits, as well as AES, RC6, Twofish, Seed, Serpent and Camellia block ciphers of 128 bits. Furthermore, the proposed methodology enables a classification of modes of operation of cryptographic systems according to their strength.
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